In this section, we show that the OPE coefficients (REF ) derived from Poincaré in Section REF  and verified from momentum space in Section REF  respect the action generated by \(\widehat{\rm w}^q_n\) . Here, we focus only on the constraints generated by positive-helicity gravitons and leave those associated to negative-helicity gravitons to future work. In particular, we study the transformations derived in the previous section from minimally coupled gravitons. In doing so, we assume that the finite number of effective field theory corrections (including those enumerated in[1]}) are absent.
